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Finding the Fourth Proportional to 621.46, 932.82 and 256.47

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Solution

The fourth proportional to 621.46, 932.82 and 256.47 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 932.82 = 256.47 : x
  2. Step 2: Convert to fraction form
    621.46/932.82 = 256.47/x
  3. Step 3: Cross multiply
    621.46x = 932.82 × 256.47
  4. Step 4: Simplify right side
    621.46x = 239,240.35
  5. Step 5: Solve for x
    x = 239,240.35/621.46
  6. Step 6: Final answer
    x = 384.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.